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VashaNatasha [74]
2 years ago
15

A factory used 396.25 pounds of tomatoes to make 6.25 batches of salsa. How many pounds of tomatoes were used in each batch?

Mathematics
2 answers:
faust18 [17]2 years ago
5 0

Answer:

63.4 pounds of tomatoes were used in each batch

Step-by-step explanation:

A factory used 396.25 pounds of tomatoes to make 6.25 batches of salsa.

Or, In 6.25 batches of salsa 396.25 pounds of tomatoes were used.

In 1 batch of salsa , \dfrac{396.25}{6.25} pounds of tomatoes will be used.

i.e. In 1 batch of salsa , 63.4 pounds of tomatoes will be used.

Hence, 63.4 pounds of tomatoes were used in each batch

IceJOKER [234]2 years ago
3 0
63.4 pounds of tomatoes were used in each batch. You have to find the unit rate. Divide 396.25 by 6.25, and you get 63.4. 
hope this helps:)
please mark thanks and brainliest! :)
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Answer:

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And using a calculator, excel ir the normal standard table we have that:

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And we can calculate the probability like this:P(-1.5 \leq Z \leq 1.5) = P(zStep-by-step explanation:

A random sample of 36 observations has been drawn from a normal distribution with mean 50 and standard deviation 12. Find the probability that the sample mean is in the interval 47<=X<53. Is the assumption of normality important. Why?

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

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Where \mu=50 and \sigma=12

Since the distribution for X is normal then we know that the distribution for the sample mean \bar X is given by:

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We can find the probability required like this:

z= \frac{47 -50}{\frac{12}{\sqrt{36}}}=-1.5

z= \frac{53 -50}{\frac{12}{\sqrt{36}}}=1.5

And using a calculator, excel ir the normal standard table we have that:

P(47 \leq \bar X \leq 53) =P(-1.5 \leq Z \leq 1.5)

And we can calculate the probability like this:

P(-1.5 \leq Z \leq 1.5) = P(z

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